Answer:
- a. 0.1647;
- b. 0.7153;
- c. 0.4453.
Step-by-step explanation:
By definition, if two event 
and 
are independent, then
. (
is the probability that the outcome of both event and event are true.)
<h3>a.</h3>
Since the outcome of these two events are independent,
.
<h3>b.</h3>
The logic not operator 
or the prime superscript 
denotes that an event does not happen.
.
.
Since the two events 
and 
, 
and 
are also independent. Probability that neither professor got funded:
.
Probability that at least one professor got funded- in other words, it is not true that neither professor got funded:
.
<h3>c.</h3>
Similarly, since the two events and , and are also independent. Probability that Jane but not Joe got funded:
.
Answer:
The answer is C.
Step-by-step explanation:
The $13 he started off with is the y-intercept or the initial value, which is the point where x=0.
The x-intercept, or rate of change, is $8.50.
The slope intercept formula is y=mx+b, where m=8.5 and b=13.
The equation for this problem is y=8.5x+13.
So the answer is C
Answer:
StartFraction uppercase V squared minus v squared Over 2 s EndFraction = a
Step-by-step explanation:
Answer:
$ 125,000
Step-by-step explanation:
Given,
The amount of rent = $ 25,000,
The salary of assistant = $ 30, 000
Expenses = $ 20,000,
Also, her best alternative is to work elsewhere and to earn a salary of $50,000 per year.
Thus, the investment in the firm = 25000 + 30000 + 20000 + 50000
= $ 125,000,
Now, if she earns zero economic profit,
Then her revenue = investment
= $ 125,000
The axis of symmetry of a parabola like
is a vertical line of the form
where k is the x coordinate of the vertex of the parabola.
In particular, the x coordinate of the vertex of the parabola is given by
which in your case becomes
So, the axis of symmetry is the line
